Realization Of Vertex Operators Of 7-Twisted Affine Lie Algebra (?) [θ]

Based on [6], we construct the vertex operator representations of 7-twisted affine Lie algebra sl(3, C)[θ] in this article, that is to say, we give the realization of vertex operators of 7-twisted affine Lie algebra sl(3,C)[θ], which lay a foundation for the further research of Vertex Operator Algebra associated with it. We do it as following: Firstly, we find an automorphism of sl(3, C) with order 7, i.e. θ ∈ Aut(sl(3, C)), and θ7 = 1. Then according to the θ, find the affinization of sl(3,C). Finally, according to the properties of vertex operators, constuct the vertex operator representations of sl(3,C)[θ] in detail.